Hurwitz quaternion order and arithmetic Riemann surfaces

2007/01/04 by Mikhail G. Katz, Katz, Mikhail G., Mary Schaps +3
Mathematics · #11R52 #16K20 #53C23 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.DG #math.RA #msc:11R52 #msc:16K20 #msc:53C23

paper · pdf · doi:10.48550/arxiv.math/0701137

14 pages, to appear in Geometriae Dedicata

openalex publication_date 2007/01/04 · arxiv created 2011/01/09 · arxiv updated 2011/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We clarify the explicit structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory and systolic geometry.

Citations

• Hyperellipticity and Klein bottle companionship in systolic geometry

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